825863040 has 320 divisors, whose sum is σ = 2999106000. Its totient is φ = 216539136.

The previous prime is 825863039. The next prime is 825863057. The reversal of 825863040 is 40368528.

825863040 is a `hidden beast` number, since 8 + 2 + 586 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 825862986 and 825863004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4613671 + ... + 4613849.

Almost surely, 2^825863040 is an apocalyptic number.

825863040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499553000).

825863040 is an abundant number, since it is smaller than the sum of its proper divisors (2173242960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825863040 is a wasteful number, since it uses less digits than its factorization.

825863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 825863040 is about 28737.8329036829. The cubic root of 825863040 is about 938.2156583497.

The spelling of 825863040 in words is "eight hundred twenty-five million, eight hundred sixty-three thousand, forty".